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A matrix method is formulated in a Lagrangian representation for the solution of the characteristic value problem governing modes of oscillation and instability in a collisionless stellar system. The underlying perturbation equations govern…

Astrophysics · Physics 2009-11-07 Peter O. Vandervoort

We consider a model of a circular lenticular vortex immersed into a deep and vertically stratified viscous fluid in the presence of gravity and rotation. The vortex is assumed to be baroclinic with a Gaussian profile of angular velocity…

Fluid Dynamics · Physics 2021-11-01 Joris Labarbe , Oleg N. Kirillov

The use of structured light beams to detect the velocity of targets moving perpendicularly to the beam's propagation axis opens new avenues for remote sensing of moving objects. However, determining the direction of motion is still a…

The splitting of a high-order optical vortex into a constellation of unit vortices, upon total reflection, is described and analyzed. The vortex constellation generalizes, in a local sense, the familiar longitudinal Goos-H\"anchen and…

Optics · Physics 2012-11-15 Mark R. Dennis , Jörg B. Götte

Retrieving the phase of a complex-valued field from the measurements of its amplitude is a crucial problem with a wide range of applications in microscopy and ultracold atomic physics. In particular, obtaining an accurate and efficient…

Optics · Physics 2025-06-16 Andrii Torchylo

Since the 1970s, analogies between laser dynamics and fluid systems have provided insight into phenomena such as chaos, multistability, and turbulence. Building on this perspective, we model the optical field as an energy fluid and…

GaN has recently been shown to host bright, photostable, defect single photon emitters in the 600-700 nm wavelength range that are promising for quantum applications. The nature and origin of these defect emitters remain elusive. In this…

Materials Science · Physics 2023-10-09 Yifei Geng , Debdeep Jena , Gregory D. Fuchs , Warren R. Zipfel , Farhan Rana

We experimentally characterize the positions of the diffraction maxima of a phase grating on a screen, for laser light at oblique incidence (so-called off-plane diffraction or conical diffraction). We discuss the general case of off-plane…

Optics · Physics 2021-05-12 Georg Heuberger , Juergen Klepp , Jinxin Guo , Yasuo Tomita , Martin Fally

On the basis of angular spectrum representation, the reversed propagation dynamics of Laguerre-Gaussian beam in left-handed materials (LHMs) is presented. We show that negative phase velocity gives rise to a reversed screw of wave-front,…

Optics · Physics 2009-11-13 Hailu Luo , Zhongzhou Ren , Weixing Shu , Shuangchun Wen

Diffraction of a surface wave on a rectangular wedge with impedance faces is studied using the Sommerfeld-Malyuzhinets technique. An analog of Landau's bypass rule in the theory of plasma waves is introduced for selection of a correct…

Optics · Physics 2014-03-25 Igor A. Kotelnikov , Vasily V. Gerasimov , Boris A. Knyazev

The dynamics of a Lamb-Oseen vortex dipole in a viscoelastic fluid are investigated, with emphasis on asymmetry, coupling strength, and transverse shear waves relevant to strongly coupled dusty plasmas. Dusty plasmas provide a natural…

Plasma Physics · Physics 2026-05-21 Vipul B Rohit , Vikram Dharodi , Sharad K Yadav

The comparative numerical and analytical analysis of scintillation indices of the vortex Laguerre-Gaussian beam and the non-vortex doughnut hole and Gaussian beams propagating in the randomly inhomogeneous atmosphere has been performed. It…

Optics · Physics 2014-11-10 Valerii P. Aksenov , Valeriy V. Kolosov

Fractional-order vector vortex beams are recently demonstrated to be new carriers of fractional-strength optical vortices. However, why can those new vortex beams formed by the combination of both unstable states propagate stably in free…

Optics · Physics 2022-08-04 Xiaoyu Weng , Yu Miao , Yang Li , Xiangmei Dong , Xiumin Gao , Songlin Zhuang

We provide a description of the far-field encountered in the diffraction problem resulting from the interaction of a monochromatic plane-wave and a right-angled no-contrast penetrable wedge. To achieve this, we employ a two-complex-variable…

Analysis of PDEs · Mathematics 2023-11-01 Valentin D. Kunz , Raphael C. Assier

The present study experimentally examines how an electron vortex beam with orbital angular momentum (OAM) undergoes diffraction through a forked grating. The nth-order diffracted electron vortex beam after passing through a forked grating…

Quantum Physics · Physics 2015-06-16 Koh Saitoh , Yuya Hasegawa , Kazuma Hirakawa , Nobuo Tanaka , Masaya Uchida

Photonic states encoded in spatial modes of paraxial light fields provide a promising platform for high-dimensional quantum information protocols and related studies, where several pioneering theoretical and experimental demonstrations have…

Optics · Physics 2022-02-15 Li-Wei Mao , Dong-Sheng Ding , Carmelo Rosales-Guzmán , Zhi-Han Zhu

Optical vortex beam with orbital angular momentum (OAM) has great potential to increase the capacity of optical communication and information processing in classical and quantum regimes. Nevertheless, important challenges that influence the…

Optics · Physics 2024-03-26 Tong Fu , Gang Luo , Jia Cheng Li , Yuan Chao Geng , Xiao Dong Yuan

Reformulation of conventional beam definitions into their bidirectional versions and use of Hertz potentials make beam fields exact vector solutions to Maxwell's equations. This procedure is applied to higher-order elegant Laguerre-Gaussian…

Optics · Physics 2016-10-18 Wojciech Nasalski

Trapped surface waves have been observed in a swimming pool trapped by, and rotating around, the cores of vortices. To investigate this effect, we have numerically studied the free-surface response of a Lamb--Oseen vortex to small…

Fluid Dynamics · Physics 2024-10-18 Emanuele Zuccoli , Edward James Brambley , Dwight Barkley

An optical vortex (OV) is a beam with spiral wave front and screw phase dislocation. This kind of beams is attracting rising interest in various fields. Here we theoretically proposed and experimentally realized a novel but easy approach to…